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2772992 = 212677
BaseRepresentation
bin1010100101000000000000
312012212211102
422211000000
51202213432
6135233532
732366345
oct12450000
95185742
102772992
111624432
12b188a8
13761231
145227cc
1539b962
hex2a5000

2772992 has 26 divisors (see below), whose sum is σ = 5553498. Its totient is φ = 1384448.

The previous prime is 2772977. The next prime is 2772997. The reversal of 2772992 is 2992772.

It can be written as a sum of positive squares in only one way, i.e., 2768896 + 4096 = 1664^2 + 64^2 .

It is a d-powerful number, because it can be written as 215 + 73 + 73 + 219 + 95 + 95 + 221 .

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3758 + ... + 4434.

22772992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776749).

2772992 is an abundant number, since it is smaller than the sum of its proper divisors (2780506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2772992 is an frugal number, since it uses more digits than its factorization.

2772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its digits is 31752, while the sum is 38.

The square root of 2772992 is about 1665.2303144010. The cubic root of 2772992 is about 140.4913348506.

The spelling of 2772992 in words is "two million, seven hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 677 1024 1354 2048 2708 4096 5416 10832 21664 43328 86656 173312 346624 693248 1386496 2772992